Question

describe the end behavior of the function using limit notation.(SHOW ALL WORK)

Answer 1

We will know the end behavior as follows:

$\lim _{x\rightarrow{\infty}}=x^4-3x^2+2=\lim _{x\rightarrow\infty}x^4+\lim _{x\rightarrow\infty}-3x^2+\lim _{x\rightarrow\infty}2$$=\lim _{x\rightarrow\infty}x^4-3\lim _{x\rightarrow\infty}x^2+\lim _{x\rightarrow\infty}2=\infty-3(\infty)+2=\infty$$\Rightarrow\lim _{x\rightarrow\infty}x^4-3x^2+2=\infty$